Radial projection and the Poincaré metric

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Abstract

Some estimates for the Poincaré metric of a planar domain are obtained in terms of the radial projection of the complement of the domain onto the unit circle. These estimates allow us, in particular, to strengthen the well-known Lavrent'ev theorem on the product of conformal radii of nonoverlapping domains. The proofs use the polarization transformation.

Original languageEnglish
Pages (from-to)2267-2275
Number of pages9
JournalJournal of Mathematical Sciences
Volume95
Issue number3
DOIs
StatePublished - 1999

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